Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性)

考虑了拓展插值结点取值范围后的Grünwald插值算子在实数轴上的收敛性,证明了将结点范围扩大到全实轴后,即取为Hermite多项式的零点,对任意点x∈(-∞,∞),有Gn(f,x)→f(x),n→∞,其中,f(x)为实数轴上任一满足的连续函数.

Bibliographic Details
Main Authors:	ZHAOYi(赵易), ZHOUSong-ping(周颂平)
Format:	Article
Language:	zho
Published:	Zhejiang University Press 2003-09-01
Series:	Zhejiang Daxue xuebao. Lixue ban
Subjects:	grünwald插值算子 hermite多项式收敛性
Online Access:	https://doi.org/zjup/1008-9497.2003.30.5.485-488

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